Journal article
A hybrid incomplete exponential sum with application to aperiodic hamming correlation of some frequency-hopping sequences
Z Zhou, X Tang, Y Yang, U Parampalli
IEEE Transactions on Information Theory | Published : 2012
Abstract
In this paper, an upper bound for a hybrid incomplete exponential sum over finite fields is derived. This bound is then used to obtain lower and upper bounds for aperiodic Hamming correlation of frequency-hopping sequences based on power functions. © 1963-2012 IEEE.
Grants
Awarded by National Natural Science Foundation of China
Funding Acknowledgements
Manuscript received September 14, 2011; accepted June 03, 2012. Date of publication June 26, 2012; date of current version September 11, 2012. Z. Zhou, X. Tang, and Y. Yang were supported in part by the National Science Foundation of China under Grants 61201243 and 607720866, in part by the Key Grant Project of Chinese Ministry of Education under Grant 311031, in part by a Foundation from the Major State Basic Research Development Program of China (973 Program) under Grant 2012CB316100, in part by the Fundamental Research Funds for the Central Universities under Grants SWJTU12CX053 and SWJTU12ZT15, and in part by the Application Fundamental Research Project of Sichuan Province under Grant 2012JY0022.